Embedding problems in symplectic geometry / by Felix Schlenk.
Symplectic geometry serves Hamiltonian dynamics and symplectic mappings occur as time-1-maps of Hamiltonian flows. Studies in the last few years have been done to show that certain things cannot be done by a symplectic mapping, such as mapping a ball into a thinner cylinder. Schlenk shows that certa...
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Format: | eBook |
Language: | English |
Published: |
Berlin ; New York :
Walter de Gruyter,
©2005.
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Series: | De Gruyter expositions in mathematics ;
40. |
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Table of Contents:
- Preface; Contents; Introduction; Proof of Theorem 1; Proof of Theorem 2; Multiple symplectic folding in four dimensions; Symplectic folding in higher dimensions; Proof of Theorem 3; Symplectic wrapping; Proof of Theorem 4; Packing symplectic manifolds by hand; Appendix; Bibliography; Index.